TN panels are older tech, they have very fast response time (good for gaming) but not so hot as far as color gamut and viewing angle. IPS panels have good color range, wide viewing angle, slower response times so fast motion can appear blocky or blurred. VA panels are a bit of a compromise between the two.
If you're a gamer you might want a fast-response TN panel. If you do photography or video editing you might want IPS for color reproduction. If you aren't always in front of the monitor you might want IPS or VA for the viewing angle. IPS isn't so good with mostly-black scenes.
I rather suspect that you won't notice the color limitations of a good TN panel unless you're a color nabob of some sort, or have an IPS panel to compare to it.
For what it's worth (not much):
TN = twisted nematic
IPS = in-plane switching
VA = vertical alignment (there appear to be a few variations of VA)
There are other panel technologies such as OLED but not at your price point.